This study uses annual time series data on under five mortality rate (U5MR) for Solomon Islands from 1960 to 2020 to predict future trends of U5MR over the period 2021 to 2030. Residuals and forecast evaluation criteria indicate that the applied ANN (12, 12, 1) model is stable in forecasting U5MR. ANN model projections indicate that annual U5MR will hover around 20 deaths per 1000 live births throughout the out of sample period. Therefore, we encourage the government of Solomon Islands to address all the major challenges that may hinder the success of the maternal and child health program.